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  1. 1
  2. 0
  3. x
  4. xm+n+p

Answer (Detailed Solution Below)

Option 1 : 1

Detailed Solution

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Given:

The expression .

Formula used:

The power of a power property  and the property of exponents

Calculation:

  1. Applying the power of a power property to each term in the expression:
    Multiplying these terms together

     

  2. Using the property of exponents to combine:

  3. Expanding each term:
    • (m+n)(m-n) = m2 - n2
    • (n+p)(n-p) = n2 - p2
    • (p+m)(p-m) = p2 - m2

    Adding these together: m2 - n2 + n2 - p2 + p2 - m2 = 0

  4. Therefore, the expression simplifies to:

    x= 1

Therefore, the value of the given expression is 1.

Latest DSSSB Pharmacist Updates

Last updated on Mar 27, 2025

-> The DSSSB Pharmacist Exam for Advt. No. 04/2024 will be held from 5th to 7th May 2025.

-> DSSSB Pharmacist Notification was released for 2 vacancies (Advt. No. 05/2024), and 318 vacancies (Advt. No. 01/2024)

-> Candidates with a Bachelor's degree in Pharmacy are eligible to apply for the post.

-> The selection process includes a written test (One Tier Technical Examination) for 200 marks.

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